Erdős problem 729 · problems.science

Let $C>0$ be a constant. Are there infinitely many integers $a,b,n$ with $a+b> n+C\log n$ such that the denominator of $\frac{n!}{a!b!}$ contains only primes $\ll_C 1$ ?

Workspace

Continue locally Open source Sign in to contribute

Open this exact Problem, source revision, and authority Repository in Workbench. This handoff does not clone, switch, upload, or execute anything.

Canvas

public preview

Source#729
→
ResultNone
→
Checks0

Reported activity

Work these sources record against this Problem. Source-reported attribution, not reviewed here.

AI building on literature
Erdős AI contributions wiki · 8-10 Jan, 2026
Machine
Aristotle, GPT-5.2 Pro
Open the source record
argument
VibeMathed
Machine
Aristotle, GPT-5.2 Pro
Reported outcome
resolved
Open the source record

Reported activity

Search problems.science